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Important advances have been made in the fuzzy quantification field. Nevertheless, some problems remain when we face the decision of selecting the most convenient model for a specific application. In the literature, several desirable…

人工智能 · 计算机科学 2019-02-19 F. Diaz-Hermida , M. Pereira-Fariña , Juan C. Vidal , A. Ramos-Soto

Information divergences allow one to assess how close two distributions are from each other. Among the large panel of available measures, a special attention has been paid to convex $\varphi$-divergences, such as Kullback-Leibler,…

信息论 · 计算机科学 2019-04-09 Mireille El Gheche , Giovanni Chierchia , Jean-Christophe Pesquet

In this work we propose a formal system for fuzzy algebraic reasoning. The sequent calculus we define is based on two kinds of propositions, capturing equality and existence of terms as members of a fuzzy set. We provide a sound semantics…

计算机科学中的逻辑 · 计算机科学 2021-10-22 Davide Castelnovo , Marino Miculan

The fuzzy $K$-means problem is a generalization of the classical $K$-means problem to soft clusterings, i.e. clusterings where each points belongs to each cluster to some degree. Although popular in practice, prior to this work the fuzzy…

机器学习 · 计算机科学 2015-12-21 Johannes Blömer , Sascha Brauer , Kathrin Bujna

The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-distribution and photon number tomography are reconsidered…

量子物理 · 物理学 2009-02-23 V. I. Man'ko , G. Marmo , A. Simoni , E. C. G. Sudarshan , F. Ventriglia

Rough set theory models uncertainty by approximating target concepts through lower and upper sets induced by indiscernibility, or more generally, by granulation relations in data tables. This perspective captures vagueness caused by limited…

人工智能 · 计算机科学 2026-04-24 Takaaki Fujita , Florentin Smarandache

Rough sets are approximations of concrete sets. The theory of rough sets has been used widely for data-mining. While it is well-known that adjunctions are underlying in rough approximations, such adjunctions are not enough for…

计算机科学中的逻辑 · 计算机科学 2025-04-08 Yoshihiko Kakutani

Emergences of computers and information technological revolution made tremendous changes in the real world and provides a different dimension for the intelligent data analysis. Well formed fact, the information at right time and at right…

人工智能 · 计算机科学 2011-08-10 D. P. Acharjya , L. Ezhilarasi

This article is meant to give a lucid and widely accessible, self-contained account of a novel way of performing arithmetic operations on fuzzy intervals. Based on two formulae of generalized inversion (the first in close analogy to the…

综合数学 · 数学 2016-10-28 Jan Schneider

The main objective of this paper is to develop a new semantic Network structure, based on the fuzzy sets theory, used in Artificial Intelligent system in order to provide effective on-line assistance to users of new technological systems.…

人工智能 · 计算机科学 2012-06-07 Mohamed Nazih Omri , Mohamed Ali Mahjoub

Fuzzy clustering methods allow the objects to belong to several clusters simultaneously, with different degrees of membership. However, a factor that influences the performance of fuzzy algorithms is the value of fuzzifier parameter. In…

统计方法学 · 统计学 2015-10-08 Carmela Iorio , Gianluca Frasso , Antonio D'Ambrosio , Roberta Siciliano

4G and 5G represent the current cellular communication standards utilized daily by billions of users for various applications. Consequently, ensuring the security of 4G and 5G network implementations is critically important. This paper…

密码学与安全 · 计算机科学 2024-10-29 Ilja Siroš , Dave Singelée , Bart Preneel

Fuzzy data, prevalent in social sciences and other fields, capture uncertainties arising from subjective evaluations and measurement imprecision. Despite significant advancements in fuzzy statistics, a unified inferential regression-based…

统计方法学 · 统计学 2025-06-05 Antonio Calcagnì , Przemysław Grzegorzewski , Maciej Romaniuk

In practical situations, it is of interest to investigate computing approximations of sets as an important step of knowledge reduction of dynamic covering decision information systems. In this paper, we present incremental approaches to…

人工智能 · 计算机科学 2015-04-02 Guangming Lang

In this paper the concept of Q-fuzzification of ideals of gamma-semigroups has been introduced and some important properties have been investigated. A characterization of regular gamma-semigroup in terms of Q-fuzzy ideals has been obtained.…

综合数学 · 数学 2011-02-02 Samit Kumar Majumder

The techniques developed for matrix models and fuzzy geometry are powerful tools for representing strings and membranes in quantum physics. We study the representation of fuzzy surfaces using these techniques. This involves constructing…

高能物理 - 理论 · 物理学 2025-03-19 Paul Schreivogl , Richard Schweiger

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

The work presents an extension of the fuzzy approach to 2-D shape recognition [1] through refinement of initial or coarse classification decisions under a two pass approach. In this approach, an unknown pattern is classified by refining…

计算机视觉与模式识别 · 计算机科学 2014-10-16 Subhadip Basu , Mahantapas Kundu , Mita Nasipuri , Dipak Kumar Basu

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

统计方法学 · 统计学 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

This research will present a hybrid approach to accelerate convergence in a second order optimization. An online finite difference approximation of the diagonal Hessian matrix will be introduced, along with fuzzy inferencing of several…

机器学习 · 计算机科学 2024-03-26 Abdelaziz Bensadok , Muhammad Zeeshan Babar